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4103140500 = 2232535571637
BaseRepresentation
bin1111010010010000…
…1111010010010100
3101120221210010121200
43310210033102110
531400400444000
61515052312500
7203452055514
oct36444172224
911527703550
104103140500
111816130208
12966172730
135050c47b4
142acd21844
1519034a500
hexf490f494

4103140500 has 144 divisors (see below), whose sum is σ = 12975200784. Its totient is φ = 1091539200.

The previous prime is 4103140469. The next prime is 4103140507. The reversal of 4103140500 is 50413014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3427868304 + 675272196 = 58548^2 + 25986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103140507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505682 + ... + 2507318.

It is an arithmetic number, because the mean of its divisors is an integer number (90105561).

Almost surely, 24103140500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487600392).

4103140500 is an abundant number, since it is smaller than the sum of its proper divisors (8872060284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4103140500 is a wasteful number, since it uses less digits than its factorization.

4103140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4103140500 is about 64055.7608650463. The cubic root of 4103140500 is about 1600.9292128519.

Adding to 4103140500 its reverse (50413014), we get a palindrome (4153553514).

The spelling of 4103140500 in words is "four billion, one hundred three million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 557 750 900 1114 1125 1500 1637 1671 2228 2250 2785 3274 3342 4500 4911 5013 5570 6548 6684 8185 8355 9822 10026 11140 13925 14733 16370 16710 19644 20052 24555 25065 27850 29466 32740 33420 40925 41775 49110 50130 55700 58932 69625 73665 81850 83550 98220 100260 122775 125325 139250 147330 163700 167100 204625 208875 245550 250650 278500 294660 368325 409250 417750 491100 501300 613875 626625 736650 818500 835500 911809 1227750 1253250 1473300 1823618 1841625 2455500 2506500 2735427 3647236 3683250 4559045 5470854 7366500 8206281 9118090 10941708 13677135 16412562 18236180 22795225 27354270 32825124 41031405 45590450 54708540 68385675 82062810 91180900 113976125 136771350 164125620 205157025 227952250 273542700 341928375 410314050 455904500 683856750 820628100 1025785125 1367713500 2051570250 4103140500